Geometry Class Quiz on Angles and Shapes

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Questions and Answers

At absolute zero (0K), pure Silicon and Germanium are classified as which of the following?

  • Conductors
  • Semiconductors (correct)
  • None
  • Insulators

In the calcium fluoride structure, the coordination numbers of cations and anions are:

  • 6 and 6
  • 8 and 4 (correct)
  • 4 and 8
  • 4 and 4

Which of the following structures is associated with a Frenkel defect?

  • Graphite
  • Diamond
  • NaBr
  • NaCl (correct)

In a tetragonal crystal structure, which of the following statements is true?

<p>Two sides are equal, one is different (B)</p> Signup and view all the answers

In face-centered cubic (fcc) structures, cations occupy which kind of voids?

<p>Alternate tetrahedral voids (C)</p> Signup and view all the answers

Which crystal structure has all sides equal and angles equal to 90 degrees?

<p>α = β = γ = 90°; a = b = c (A)</p> Signup and view all the answers

Which of the following ionic compounds is expected to have the maximum distance between cations and anions?

<p>CsF (C)</p> Signup and view all the answers

In solid alkali metal halides, what primarily causes the appearance of color?

<p>F-centres (C)</p> Signup and view all the answers

Which structure is characterized by angles of 90 degrees and unequal sides?

<p>α = β = γ = 90°; a = b ≠ c (C)</p> Signup and view all the answers

Which of the following types of materials exhibits ferrimagnetism?

<p>MnO (C)</p> Signup and view all the answers

What is the coordination number of a gold atom in the crystal?

<p>8 (D)</p> Signup and view all the answers

Which crystal system corresponds to the unit cell dimensions given by a = 0.387, b = 0.387, and c = 0.504 with α = β = 90° and γ = 120°?

<p>Hexagonal (D)</p> Signup and view all the answers

What is the atomic mass of gold as mentioned in the provided content?

<p>197 amu (B)</p> Signup and view all the answers

What is the density of gold as stated in the content?

<p>19.4 g/cm³ (B)</p> Signup and view all the answers

In X-ray studies, how is the packing of atoms in a crystal of gold arranged?

<p>In layers with identical every fourth layer (D)</p> Signup and view all the answers

What is the significance of the values α = β = 90° and γ = 120° in the context of crystal systems?

<p>They determine the shape of the crystal and its symmetry (A)</p> Signup and view all the answers

What does a coordination number relate to in crystal structures?

<p>The number of nearest neighbors surrounding an atom (D)</p> Signup and view all the answers

Which characteristic differentiates the hexagonal crystal system from others?

<p>Contains symmetry of sixfold rotation (D)</p> Signup and view all the answers

What is the density of gold in grams per cubic centimeter (gcc)?

<p>19.4 gcc (C)</p> Signup and view all the answers

For an fcc crystal with a density of 10.0 gcc and a cell edge of 200 pm, how many atoms are in 100 g of the crystal, expressed as x × 10^24?

<p>5 (B)</p> Signup and view all the answers

What type of impurity should be added to silicon (Si) to create an n-type doped semiconductor?

<p>Impurity with 5 valence electrons (D)</p> Signup and view all the answers

How many octahedral voids in a face-centered cubic (fcc) unit cell are not shared with other unit cells?

<p>1 (C)</p> Signup and view all the answers

What is the relationship between the number of atoms in the unit cell of an fcc structure and its packing efficiency?

<p>2 atoms with 74% packing efficiency (C)</p> Signup and view all the answers

What is the ratio of Fe3+ to Fe2+ ions in Fe0.9S?

<p>0.28 (C)</p> Signup and view all the answers

In NaCl, how do the chloride ions occupy space?

<p>Face-centered cubic (fcc) (A)</p> Signup and view all the answers

What is the fraction of total volume occupied by atoms in a simple cubic structure?

<p>$\frac{\pi}{6}$ (D)</p> Signup and view all the answers

What is the correct expression for the interionic distance in a cesium chloride crystal?

<p>a (D)</p> Signup and view all the answers

If NaCl is doped with 10^-4 mol% SrCl2, what is the effect on the concentration of cation vacancies?

<p>It increases the concentration of cation vacancies (A)</p> Signup and view all the answers

Which of the following compounds has a ratio of Fe3+ to Fe2+ greater than 1?

<p>Fe3O4 (D)</p> Signup and view all the answers

Which structure has the highest packing efficiency among the following?

<p>Face-centered cubic (D)</p> Signup and view all the answers

In terms of ionic radii, what holds for cesium chloride?

<p>The cation radius is less than the anion radius (B)</p> Signup and view all the answers

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Study Notes

Solid State Chemistry Overview

  • Pure silicon and germanium at 0K are classified as semiconductors.
  • In the calcium fluoride structure, the coordination numbers for cations and anions are 8 and 4, respectively.

Crystal Structure Types

  • Tetragonal crystals have dimensions where a = b ≠ c and angles α = β = γ = 90°.
  • In NaCl, the chloride ions occupy a face-centered cubic (FCC) arrangement.
  • The interionic distance for cesium chloride crystals can be expressed as a.

Ionic Compounds and Defects

  • The maximum distance between cations and anions occurs in LiI.
  • Frenkel defects are observed in NaBr, while Schottky defects are linked to ionic compounds in general.

Properties of Alkali Metal Halides

  • The color appearance in solid alkali metal halides is commonly due to F-centers.

Magnetism and Ion Ratios

  • Ferrimagnetism is demonstrated by Fe3O4, while the ratio of Fe3+ to Fe2+ ions in Fe0.9S is 0.28.

Volume Occupation and Doping

  • The total volume occupied by atoms in a simple cubic cell is π/6.
  • Doping NaCl with 10⁻⁴ mol% SrCl₂ increases the concentration of cation vacancies.

Crystallography and Density

  • The crystal system for a compound with lattice parameters a = b = 0.387 nm, c = 0.504 nm, α = β = 90°, and γ = 120° is hexagonal.
  • In FCC crystals, there are 1 octahedral void not shared with other unit cells per unit cell.

Semiconductor Doping

  • To create n-type doped semiconductors, impurities with five valence electrons should be added to silicon.

Other Noteworthy Facts

  • The density of gold is 19.4 g/cm³ and its atomic mass is 197 amu.
  • The number of atoms in a 100 g FCC crystal with a density of 10.0 g/cm³ and cell edge of 200 pm equals 5 × 10²⁴.

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